2.

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{b99b3eb0-9bca-42e3-bea9-3b0454a872db-04_374_1084_246_493}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{center}
\end{figure}

Figure 2 shows a fairground ride that consists of a chair of mass $m$ attached to one end of a rigid arm of length $\frac { 5 a } { 4 }$. The other end of the arm is freely hinged to the rim of a thin horizontal circular disc of radius $a$. The disc rotates with constant angular speed $\omega$ about a vertical axis through the centre of the disc. As the ride rotates the arm remains in a vertical plane through the centre of the disc. The arm makes a constant angle $\theta$ with the vertical, where $\tan \theta = \frac { 3 } { 4 }$

The chair is modelled as a particle and the arm is modelled as a light rod.
\begin{enumerate}[label=(\alph*)]
\item Find the tension in the arm in terms of $m$ and $g$
\item Find $\omega$ in terms of $a$ and $g$
\end{enumerate}

\hfill \mbox{\textit{Edexcel M3 2021 Q2 [9]}}